Products of multiplication composition and differentiation operators on weighted Bergman spaces

Let ψ be a holomorphic function on the open unit disk D and φ a holomorphic self-map of D . Let C φ , M ψ and D denote the composition, multiplication and differentiation operator, respectively. We consider linear operators induced by products of these operators on weighted Bergman spaces on D . The...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics and computation Vol. 217; no. 20; pp. 8115 - 8125
Main Authors: Stević, Stevo, Sharma, Ajay K., Bhat, Ambika
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Inc 15.06.2011
Elsevier
Subjects:
Boundedness
Composition operator
Differentiation
Differentiation operator
Disks
Exact sciences and technology
Global analysis, analysis on manifolds
Linear operators
Mathematical analysis
Mathematical models
Mathematics
Multiplication
Multiplication operator
Numerical analysis
Numerical analysis. Scientific computation
Operator theory
Operators
Sciences and techniques of general use
Several complex variables and analytic spaces
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Differentiation operator
Multiplication operator
Composition operator
Boundedness
Multiplication
Numerical analysis
Applied mathematics
Holomorphic mapping
Linear operator
ISSN:0096-3003, 1873-5649
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let ψ be a holomorphic function on the open unit disk D and φ a holomorphic self-map of D . Let C φ , M ψ and D denote the composition, multiplication and differentiation operator, respectively. We consider linear operators induced by products of these operators on weighted Bergman spaces on D . The boundedness is established by using Carleson-type measures.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2011.03.014